Many-body properties of quasi-one-dimensional boson gas across a narrow CIR

• Published in: Europhysics letters Vol. 101; no. 4; pp. 40002 - 40007
• Main Authors: Qi, Ran, Guan, Xiwen
• Format: Journal Article
• Language: English
• Published: EDP Sciences, IOP Publishing and Società Italiana di Fisica 01.02.2013
• Subjects: 02.30.Ik; 03.75.Hh; 05.30.Jp
• ISSN: 0295-5075; 1286-4854
• DOI: 10.1209/0295-5075/101/40002

We study strong interaction effects in a one-dimensional (1D) boson gas across a narrow confinement-induced resonance (CIR). In contrast to the zero-range potential, the 1D two-body interaction in the narrow CIR can be written as a polynomial of derivative δ-function interaction on many-body level. Using the asymptotic Bethe ansatz, we find that the low-energy physics of this many-body problem is described by the Tomonaga-Luttinger liquid where the Luttinger parameters are essentially modified by an effective finite-range parameter v. This parameter drastically alters quantum criticality and universal thermodynamics of the gas. In particular, it drives the Tonks-Girardeau (TG) gas from non-mutual Fermi statistics to mutual statistics or to a more exclusive super-TG gas. This novel feature is further discussed in terms of the breathing mode which is experimentally measurable.